   Chapter 6.4, Problem 3E ### Elementary Geometry for College St...

6th Edition
Daniel C. Alexander + 1 other
ISBN: 9781285195698

#### Solutions

Chapter
Section ### Elementary Geometry for College St...

6th Edition
Daniel C. Alexander + 1 other
ISBN: 9781285195698
Textbook Problem
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# In Exercises 1 to 8, use the figure provided.If m C D ⌢ < m A B ⌢ , write an inequality that compares Q M and Q N . To determine

To write:

An inequality that compares QM and QN.

Explanation

Given:

mCD<mAB and the figure given below

Theorem:

In a circle (or in congruent circles) containing two unequal minor arcs, the greater minor arc corresponds to the longer of the chords related to these arcs.

In a circle (or in congruent circles) containing two unequal chords, the shorter chord is at the greater distance from the center of the circle.

Calculation:

Using the theorem.

And since the arcs are unequal i.e. mCD<mAB and from the given figure,

The chord corresponding to arc mCD is CD and the chord corresponding to mAB is AB, we conclude that CD¯<AB¯

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